-
List of papers
-
Hyperplane families creating envelopes, Nonlinearlity 35 (2022), 2588.
arXiv
- (with Erica Boizan Batista and Huhe Han)
Simultaneous smoothness and simultaneous stability of a C^\infty strictly convex integrand and its dual,
Kodai Mathematical Journal, 43 (2020), 221-242. arXiv
- (with Stanislaw Janeczko)
Anti-orthotomics of frontals and their applications,
Journal of Mathematical Analysis and Applications, 487 (2020), 124019.
arXiv
- Kato's chaos created by quadratic mappings
associated with spherical orthotomic curves, Journal of Singularities, 21 (2020), 205-211.
arXiv
- (with Huhe Han)
The spherical dual transform is an isometry for spherical Wulff shapes,
Studia Mathematica, 245 (2019), 201-211. arXiv
- (with Huhe Han)
Limit of the Hausdorff Distance for One-Parameter Families of Wulff Shapes Constructed by Affine Perturbations of Dual Wulff Shapes,
Methods and Applications of Analysis, 25 (2018), 277-290.
Repository
- (with Huhe Han)
Spherical method for studying Wulff shapes and related topics,
Advanced Studies in Pure Mathematics, 78, Math. Soc. Japan. Tokyo, 2018, pp. 1-53.
Repository
- (with Shunsuke Ichiki)
Preservation of immersed or injective properties by composing generic
generalized distance-squared mappings,
Springer Proceedings in Mathematics & Statistics, vol. 222, Springer Cham, 2018, pp. 537-547.
arXiv
- (with Yusuke Mizota)
Lowerable vector fields for a finitely L-determined multigerm,
Hokkaido Mathematical Journal, 47 (2018), 17-23.
arXiv
-
Jacobian-squared function-germs,
Pure and Applied Mathematics Quarterly, 13 (2017), 711-728. arXiv
- (with Huhe Han)
Self-dual Wulff shapes and spherical convex bodies of constant width ƒÎ/2,
Journal of the Mathematical Society of Japan, 69 (2017), 1475-1484.
arXiv
- (with Huhe Han)
Strictly convex Wulff shapes and C^1 convex integrands,
Proceedings of the American Mathematical Society, 145 (2017), 3997-4008.
arXiv
- (with Erica Boizan Batista and Huhe Han)
Stability of C^\infty convex integrands, Kyushu Journal of Mathematics, 71 (2017), 187-196.
arXiv
- (with Shunsuke Ichiki)
Generalized distance-squared mappings of R^{n+1} into R^{2n+1},
Contemporary Mathematics, vol. 675, Amer. Math. Soc., Providence RI, 2016, pp. 121-132.
arXiv
- (with R. Oset Sinha, M.A.S. Ruas and R.G. Wik Atique)
Liftable vector fields over corank one multigerms,
Mathematische Annalen, 366 (2016), 573-611.
arXiv
- (with S. Ichiki, R. Oset Sinha and M.A.S. Ruas)
Generalized distance-squared mappings of the plane into the plane,
Advances in Geometry, 16 (2016), 189-198.
arXiv
- (with Daisuke Kagatsume)
Aperture of plane curves, Journal of Singularities,
12 (2015), 80-91.
- (with Shunsuke Ichiki)
Recognizable classification of Lorentzian distance-squared mappings,
Journal of Geometry and Physics, 81 (2014), 62-71.
arXiv
- (with J.C.F. Costa and M.A.S. Ruas)
Bi-Lipschitz A-equivalence of K-equivalent map-germs,
RACSAM - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas,
108 (2014), 173-182.
arXiv
- (with Yu Sakemi)
Topological aspect of Wulff shapes
Journal of the Mathematical Society of Japan, 66 (2014),
89-109.
Repository
- (with Shunsuke Ichiki)
Distance-squared mappings, Topology and its Applications, 160 (2013). 1005-1016.
arXiv
-
Wave front evolution and pedal evolution,
RIMS Kokyuroku Bessatsu, B38 (2013), 15-30.
arXiv
- (with Yusuke Mizota) Multicusps, in Real and Complex Singularities,
Contemporary Mathematics, vol. 569, Amer. Math. Soc., Providence RI, 2012, pp. 115-121.
arXiv
-
Whitney umbrellas and swallowtails, Pacific Journal of Mathematics, 252 (2011), 459-471.
arXiv
- (with Yu Sakemi)
View from Inside, Hokkaido Mathematical Journal, 40 (2011), 361-373.
Repository
-
Singularities of one-parameter pedal unfoldings of spherical pedal curves, Journal of Singularities, 2 (2010), 160-169.
Repository
- Stable multigerms, simple multigerms and asymmetric Cantor sets,
Proceedings of the Centre for Mathematics and its Applications, Australian National University, 43 (2010), 75-81.
Repository
- An estimate of the degree of L-determinacy by the degree of A-determinacy for curve germs,
London Mathematical Society Lecture Note Series, 380 (2010), 293-297.
-
Singularities of pedal curves produced by singular dual curve germs in S^n,
Demonstratio Mathematica, 43 (2010), 447-459.
Repository
- A-simple multigerms and L-simple multigerms,
Yokohama Mathematical Journal, 55 (2010), 93-104.
Repository
-
Normal forms for singularities of pedal curves produced by non-singular dual curve germs in S^n,
Geometriae Dedicata, 133 (2008), 59-66.
Repository
- (with Keita Kitagawa) Classification of singularities of pedal curves in S^2,
The Natural Sciences, Journal of the Faculty of Education and Human Sciences,
Yokohama National University, 10 (2008), 39-55.
Repository
-
A method to investigate TA(f), TL(f) and its applications,
RIMS Kokyuroku, 1610 (2008), 84-99.
- Singularities of tangent pedal curves in S^3,
The Natural Sciences, Journal of the Faculty of Education and Human Sciences,
Yokohama National University, 9 (2007), 43-50.
Repository
-
Criteria for right-left equivalence of smooth map-germs,
Topology, 40 (2001), 433-462.
-
Recognizing right-left equivalence locally,
in "Caustics '98", Banach Center Publications, Polish
Academy of Sciences, Warszawa, 50 (1999), 205-215.
Repository
-
Topological equivalence of K-equivalent map germs,
Journal of the London Mathematical Society,
60 (1999), 308-320.
-
Passing through degenerate points,
RIMS Kokyuroku, 1111 (1999), 18-33.
-
Cr-K-versality of the graph deformation
of a Cr stable map-germ,
Mathematical Proceedings of the
Cambridge Philosophical Society, 127 (1999), 93-97.
Repository
-
Isomorphisms of smooth map germs with isomorphic local algebras,
in "Real Analytic and Algebraic Singularities",
Pitman Research Notes in
Mathematics Series 381,
Longman Scientific & Technical, Harlow, 1998, 94-106.
-
Study of the topological equivalence of K-equivalent map germs,
RIMS Kokyuroku, 1050 (1998), 71-76.
-
Topological K-equivalence of smooth map germs, in
"Stratifications, Singularities and Differential Equations I",
Travaux en Cours 54, Hermann, Paris, 1997, 83-93.
Repository
-
(with Shin Takahashi) Around Frankl conjecture,
Science Reports of the Yokohama National University, Section I,
43 (1996), 15-23.
Repository
-
(with Goo Ishikawa)
Smooth retracts of euclidean spaces,
Kodai Mathematical Journal, 18 (1995), 260-265.
Repository
-
A constructive method to get right left equivalence
for smooth map germs and its application to divergent diagrams,
Matematica Contemporanea, 5 (1993), 137-160.
Repository
-
(with Norimichi Hirano)
Multiplicity results for semilinear elliptic problems at
resonance and with jumping nonlinearities,
Journal of Mathematical Analysis and Applications,
180 (1993), 566-586.
-
Simple construction of parameter map germ and its applications,
RIMS Kokyuroku, 815 (1992), 1-22.
-
Topological symmetry of holomorphic function germs with isolated singularities,
RIMS Kokyuroku, 815 (1992), 23-28.
-
Topological types of
finitely C0-K-determined map-germs,
Transactions of the American Mathematical Society,
312 (1989), 621-639.
Repository
-
(with Takuo Fukuda and Kenji Aoki)
An algebraic formula for the topological types of
one parameter bifurcation diagrams,
Archive for Rational Mechanics and Analysis,
108 (1989), 247-265.
-
Topologically oo-determined map germs are
topologically cone-like,
Compositio Mathematica., 64 (1987), 117-129.
Repository
-
(with Kenji Aoki and Takuo Fukuda) On the number of branches of
the zero locus of a map germ
( Rn,0) -> ( Rn-1,0),
in "Topology and Computer Science", Proceedings of the Symposium
held in honour of Shin'ichi Kinoshita, Hiroshi Noguchi and
Tatsuo Homma on the occasion of their sixtieth birthday, Kinokuniya,
Tokyo, 1987, 347-363.
-
On topologically infinitely determined map germs,
ibid., 1987, 365-375.
-
Topological invariance of weights for weighted homogeneous
singularities, Kodai Mathematical Journal, 9 (1986), 188-190.
Repository
-
Topological types of topologically finitely determined map germs,
RIMS Kokyuroku, 550 (1985), 136-171.